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Finding the Fourth Proportional to 842.87, 1,162.83 and 511.18

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Solution

The fourth proportional to 842.87, 1,162.83 and 511.18 is: 705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.87 : 1,162.83 = 511.18 : x
  2. Step 2: Convert to fraction form
    842.87/1,162.83 = 511.18/x
  3. Step 3: Cross multiply
    842.87x = 1,162.83 × 511.18
  4. Step 4: Simplify right side
    842.87x = 594,407.71
  5. Step 5: Solve for x
    x = 594,407.71/842.87
  6. Step 6: Final answer
    x = 705.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.